The true statements from the provided list are:
- The majority of Catholics in the colonies lived in Maryland & Pennsylvania.
- The Pilgrims wanted to separate from the Church of England (Anglican Church) because they believed it was beyond reform.
- New England was dominated by Puritans, also known as Congregationalists.
So, the numbers in the correct order are: 4, 5, 7.
However, you mentioned there are 4 true statements, but there are only 3 identified. Please check if there might be an error or if additional information is available. If we only take the confirmed true statements, we proceed with the numbers as stated.